3z^2-384=139

Solution for 3z^2-384=139 equation:

Simplifying
3z2 + -384 = 139

Reorder the terms:
-384 + 3z2 = 139

Solving
-384 + 3z2 = 139

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '384' to each side of the equation.
-384 + 384 + 3z2 = 139 + 384

Combine like terms: -384 + 384 = 0
0 + 3z2 = 139 + 384
3z2 = 139 + 384

Combine like terms: 139 + 384 = 523
3z2 = 523

Divide each side by '3'.
z2 = 174.3333333

Simplifying
z2 = 174.3333333

Take the square root of each side:
z = {-13.203534879, 13.203534879}